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Finding the Fourth Proportional to 411,364.55, 617,124.18 and 186,740.75

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Solution

The fourth proportional to 411,364.55, 617,124.18 and 186,740.75 is: 280,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,364.55 : 617,124.18 = 186,740.75 : x
  2. Step 2: Convert to fraction form
    411,364.55/617,124.18 = 186,740.75/x
  3. Step 3: Cross multiply
    411,364.55x = 617,124.18 × 186,740.75
  4. Step 4: Simplify right side
    411,364.55x = 115,242,232,216.34
  5. Step 5: Solve for x
    x = 115,242,232,216.34/411,364.55
  6. Step 6: Final answer
    x = 280,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.